A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Imagine getting your car checked out for a serious problem (check engine light comes on). Is it really serious? Let's say the diagnostic machine is correct within 98% accuracy. if a mechanic sees a total of 8000 cars/trucks in a single year, how many are accurate? Complete the chart and answer the questions below. Imagine that out of the 8000 people, 5% actually did need work done. Fill out the chart below to test for accuracy of the machine.

If the mechanic says you need work (got a positive result), what is the probability that you actually do?

What is the probability that you need work done, given you got a result of negative

Due:
ame:
Unit 3
15. Imagine getting your car checked out for a serious problem (check engine light comes on). Is it really serious?
Let's say the diagnostic machine is correct within 98% accuracy. If a mechanic sees a total of 8000 cars/trucks in
a single year, how many are accurate? Complete the chart and answer the questions below. Imagine that out of
the 8000 people, 5% actually did need work done. Fill out the chart below to test for accuracy of the machine.
Total
Negative Diagnostic Test
•05 -.0409
Positive Diagnostic Test
,98x.05
0.649
ches
0.001
Needs serious work
,98X
Does not need serious work
8000
Total
If the mechanic says you need work (got a positive result), what is the probability that you actually do?
What is the probability that you need work done, given you got a result of negative?
5 | Page
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Transcribed Image Text:Due: ame: Unit 3 15. Imagine getting your car checked out for a serious problem (check engine light comes on). Is it really serious? Let's say the diagnostic machine is correct within 98% accuracy. If a mechanic sees a total of 8000 cars/trucks in a single year, how many are accurate? Complete the chart and answer the questions below. Imagine that out of the 8000 people, 5% actually did need work done. Fill out the chart below to test for accuracy of the machine. Total Negative Diagnostic Test •05 -.0409 Positive Diagnostic Test ,98x.05 0.649 ches 0.001 Needs serious work ,98X Does not need serious work 8000 Total If the mechanic says you need work (got a positive result), what is the probability that you actually do? What is the probability that you need work done, given you got a result of negative? 5 | Page
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